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IrinaK [193]
3 years ago
10

R-6 = 7 how can you solve it

Mathematics
2 answers:
Inga [223]3 years ago
6 0
As follows
r-6=7
+6 +6
r= 13
melomori [17]3 years ago
6 0

Hi! These are the steps to find your answer:

r - 6 = 7

r - 6 + 6 = 7 + 6

r = 13

Check your answer:

13 - 6 = 7

7 = 7

Hope this helps!

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The Goodsmell perfume producing company has a new line of perfume and is designing a new bottle for it. Because of the expense o
Snezhnost [94]

Answer:

Dimensions of the bottle

x (radius of the base ) = 3,99 cm

h (heigh of the bottle ) = 3,99 cm

Surface area  = 149,99 cm²

Volume of the bottle = 199,45 cm³

Step-by-step explanation:

The bottle volume  must be  V(b) = 100 ml     or   V(b) = 100 cm³

The shape of the bottle is cylindrical

Surface area of bottle is

S = surface area of the base + lateral area

Area of the base = π*x ²         where x is radius of circle

Lateral area is  2*π*x*h           where h is the heigh of the bottle

V(b) = π* x²*h                             (1)        

π*x²  +  2*π*x*h  < 150 cm²  we work with the limit  150

π*x²  + 2*π*x*h  = 150

h   =  (150 - π*x²) /2*x*π

Plugging that value in equation (1)

V(x) = π*x² * (150 - π*x²) /2*x*π   ⇒    V(x) = 150*π*x²/2*x*π  - π²*x⁴/2*x*π

V(x) = 75*x - π*x³/2

Taking derivatives on both sides of the equation

V´(x) =  75  - 3*π*x²/2

V´(x) = 0           75 - 3*π*x² /2  = 0

x² = 75*2 /3*π       ⇒   x²  = 15,92      ⇒  x = 3,99 cm

And  h = ( 150 -π*x² )/2*π*x

h = ( 150 - 49,98 )/25,05

h  =  3,99 cm

Dimensions of the bottle

x (radius of the base ) = 3,99 cm

h (heigh of the bottle ) = 3,99 cm

Surface area  = 149,99 cm²

Volume of the bottle = 199,45 cm³

 

4 0
3 years ago
Describe a model that represents 3/3 x 4/4??
Oduvanchick [21]
They are both fractions, but 3/3 is 1 whole and 4/4 is 1 whole also.
so 1 whole times 1 whole equals 1
number form of my explanation:
3/3=1
4/4=1
1x1=1
Describe complete!
4 0
3 years ago
A certain composite number has 4 factors and the sum of them is 96. Find the number(hint the number is divisible by 7). Just don
ankoles [38]

Answer:

\huge\boxed{77}

Step-by-step explanation:

The number can be divisible by 7.

The multiples of 7 are 7,14,21,28,35,42,49,56,63,70,77,84 and so on

<u>Finding the factors for all of the multiples of 7:</u>

7 => 1,7   [Not 4 factors]

14 => 1,2,7,14    [4 factors but Sum = 24]

21 => 1,3,7,21   [4 factors but Sum = 32]

28 => 1, 2, 4, 7, 14, 28    [Not 4]

35 => 1,5,7,35   [4 factors but Sum = 48]

42 => 1, 2, 3, 6, 7, 14, 21, 42     [Not 4]

49 => 1,7,49   [Not 4]

56 => 1, 2, 4, 7, 8, 14, 28, 56       [Not 4]

63 => 1, 3, 7, 9, 21, 63     [Not 4]

70 => 1, 2, 5, 7, 10, 14, 35, 70    [Not 4]

77 => 1, 7, 11, 77     [4 factors and Sum = 96]

7 0
3 years ago
Read 2 more answers
Choose the system of equations which matches the following graph:
Kipish [7]

3x - 2y = 8

- 2y = 8 - 3x

2y = 3x - 8

y = 1.5x - 4

This is the red graph

6x - 4y = 20

- 4y = 20 - 6x

4y = 6x - 20

y = 1.5x - 5

This is the blue one.

So it must be answer d)

3 0
3 years ago
John invests 18000 at a rate of 4.5% compounded annually. What will his new balance be after 6 years
Korvikt [17]

Answer:

486,000

Step-by-step explanation:

(18000) (4.5) = 81,000

(81,000) (6) = 486,000

5 0
3 years ago
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